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Finding the Third Proportional to 164,034 and 358,700

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Solution

The third proportional to 164,034 and 358,700 is: 784,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034 : 358,700 = 358,700 : x
  2. Step 2: Convert to fraction form
    164,034/358,700 = 358,700/x
  3. Step 3: Cross multiply
    164,034x = 358,700 × 358,700
  4. Step 4: Simplify right side
    164,034x = 128,665,690,000
  5. Step 5: Solve for x
    x = 128,665,690,000/164,034
  6. Step 6: Final answer
    x = 784,384.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.